What is the Greatest Common Factor of 6754 and 6760?

Greatest common factor (GCF) of 6754 and 6760 is 2.

GCF(6754,6760) = 2

We will now calculate the prime factors of 6754 and 6760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6754 and 6760.

How to find the GCF of 6754 and 6760?

We will first find the prime factorization of 6754 and 6760. After we will calculate the factors of 6754 and 6760 and find the biggest common factor number .

Step-1: Prime Factorization of 6754

Prime factors of 6754 are 2, 11, 307. Prime factorization of 6754 in exponential form is:

6754 = 2¹ × 11¹ × 307¹

Step-2: Prime Factorization of 6760

Prime factors of 6760 are 2, 5, 13. Prime factorization of 6760 in exponential form is:

6760 = 2³ × 5¹ × 13²

Step-3: Factors of 6754

List of positive integer factors of 6754 that divides 6754 without a remainder.

1, 2, 11, 22, 307, 614, 3377

Step-4: Factors of 6760

List of positive integer factors of 6760 that divides 6754 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 169, 260, 338, 520, 676, 845, 1352, 1690, 3380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6754 and 6760. The biggest common factor number is the GCF number.
So the greatest common factor 6754 and 6760 is 2.

Also check out the Least Common Multiple of 6754 and 6760